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Finding the Fourth Proportional to 2,976.70, 4,107.09 and 1,857.55

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Solution

The fourth proportional to 2,976.70, 4,107.09 and 1,857.55 is: 2,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.70 : 4,107.09 = 1,857.55 : x
  2. Step 2: Convert to fraction form
    2,976.70/4,107.09 = 1,857.55/x
  3. Step 3: Cross multiply
    2,976.70x = 4,107.09 × 1,857.55
  4. Step 4: Simplify right side
    2,976.70x = 7,629,125.03
  5. Step 5: Solve for x
    x = 7,629,125.03/2,976.70
  6. Step 6: Final answer
    x = 2,562.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.